Question

Find the volume of a sphere with a radius of 1.1 feet, rounded to the nearest hundredth.

 


*Hint:  Don't forget to use your Desmos calculator and STAAR Reference Sheet to help!

Remember to use the  π
 symbol on your Desmos calculator.


(1 point)
Responses

16.72 ft.3
16.72 ft.3

5.58 ft.3
5.58 ft.3

15.29 ft.3
15.29 ft.3

6.82 ft.3

Answer 1

To find the volume of a sphere, you can use the formula:

\[
V = \frac{4}{3} \pi r^3
\]

where \( r \) is the radius of the sphere.

Given that the radius \( r = 1.1 \) feet, we can substitute this value into the formula:

\[
V = \frac{4}{3} \pi (1.1)^3
\]

First, calculate \( (1.1)^3 \):

\[
(1.1)^3 = 1.1 \times 1.1 \times 1.1 = 1.331
\]

Now, substitute this back into the volume formula:

\[
V = \frac{4}{3} \pi (1.331)
\]

Calculating this value:

\[
V = \frac{4 \times 1.331}{3} \pi = \frac{5.324}{3} \pi \approx 1.77467 \pi
\]

Now multiply by \( \pi \) (approximately 3.14159):

\[
V \approx 1.77467 \times 3.14159 \approx 5.577
\]

Rounding to the nearest hundredth, we get:

\[
V \approx 5.58 \text{ ft}^3
\]

So the correct answer is:

**5.58 ft³**